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Let y=y(x) be the solution of the differ...

Let `y=y(x)` be the solution of the differential equation `cos x(3sinx+cosx+3)dy=(1+y sin (3sinx+cosx+3))dx, 0 le x le (pi)/(2), y (0)=0`. Then, `y((pi)/(3))` is equal to :

A

`2log_e((3sqrt3-8)/4)`

B

`2log_e((sqrt3+7)/2)`

C

`2log_e((2sqrt3+9)/6)`

D

`2log_e((2sqrt3+10)/11)`

Text Solution

Verified by Experts

The correct Answer is:
D
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